Results 1 to 10 of about 1,764 (41)
A Lindenstrauss theorem for some classes of multilinear mappings [PDF]
, 2015 Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal whose Arens extensions simultaneously attain their norms.
Carando, D. +2 more
core +3 more sources
Bounded holomorphic functions attaining their norms in the bidual [PDF]
, 2015 Under certain hypotheses on the Banach space $X$, we prove that the set of analytic functions in $\mathcal{A}_u(X)$ (the algebra of all holomorphic and uniformly continuous functions in the ball of $X$) whose Aron-Berner extensions attain their norms, is
Carando, Daniel, Mazzitelli, Martin
core +3 more sources
Gaussian width bounds with applications to arithmetic progressions in random settings [PDF]
, 2017 Motivated by problems on random differences in Szemer\'{e}di's theorem and on large deviations for arithmetic progressions in random sets, we prove upper bounds on the Gaussian width of point sets that are formed by the image of the $n$-dimensional ...
Briët, Jop, Gopi, Sivakanth
core +4 more sources
Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
core +2 more sources
Remarks on interpolation in certain linear spaces (III)
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj +2 more sources
Remarks on interpolation in certain linear spaces (IV)
Journal of Numerical Analysis and Approximation Theory, 2007 In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj +2 more sources
Positive Polynomials on Riesz Spaces
, 2016 We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear.
Cruickshank, James +2 more
core +1 more source
Polarizations and differential calculus in affine spaces
, 2005 Within the framework of mappings between affine spaces, the notion of $n$-th polarization of a function will lead to an intrinsic characterization of polynomial functions.
Abraham R +9 more
core +1 more source
Ideals of polynomials between Banach spaces revisited
, 2017 Ideals of polynomials and multilinear operators between Banach spaces have been exhaustively investigated in the last decades. In this paper, we introduce a unified (and more general) approach and propose some lines of investigation in this new framework.
Velanga, Thiago
core +1 more source
Absolutely summing multilinear operators: a panorama
, 2011 This paper has a twofold purpose: to present an overview of the theory of absolutely summing operators and its different generalizations for the multilinear setting, and to sketch the beginning of a research project related to an objective search of ...
Pellegrino, Daniel, Santos, Joedson
core +1 more source